Estimation of permuting tri-homomorphisms and permuting tri-derivations associated with the tri-additive Υ-random operator inequality in matrix MB-algebra. Issue 6 (18th August 2022)

• Record Type: Journal Article
• Authors: Aderyani, Safoura Rezaei; Saadati, Reza; Mesiar, Radko
• Is Part Of: International journal of general systems. Volume 51:Issue 6(2022)
• Page Start: 547
• Page End: 569
• Publication Date: 2022-08-18
• Subjects: Permuting tri-homomorphism -- permuting tri-derivation -- random operator -- Ulam-Hyers-Rassias stability -- Radu-Mihe method -- functional inequality; Primary 39B52 -- 17A40 -- 47B47 -- 46L57 -- 39B62; System theory -- Periodicals; 003
• DOI: 10.1080/03081079.2022.2062341
• Languages: English
• ISSNs: 0308-1079

Abstract

Abstract : Applying the Radu-Miheţ method derived from an alternative FPT, we stabilize the tri-additive Υ-random operator inequality by providing a class of stochastic matrix control functions in matrix MB-algebras. In addition, we get an estimation for permuting tri-homomorphisms and permuting tri-derivations in unital matrix MC-⋄-algebras and matrix MB-algebras.